Optimized topological quantum compilation of three-qubit controlled gates in the Fibonacci anyon model: A controlled-injection approach
Abstract
A method, termed controlled injection, is proposed for compiling three-qubit controlled gates within the non-Abelian Fibonacci anyon model. Building on single-qubit compilation techniques with three Fibonacci anyons, the approach showcases enhanced accuracy and reduced braid length compared to the conventional decomposition method for the controlled three-qubit gates. This method necessitates only four two-qubit gates for decomposition, a notable reduction from the conventional five. In conjunction, the study introduces a class of controlled three-qubit gates and conducts a numerical simulation of the topological ðâ¢Toffoli gate to validate the approach. In addition, we propose an optimization method for single-qubit gate approximation using algebraic relations and numerical methods, including distributed computing.
Abdellah Tounsi
Ph.D in Theoretical Physics
PhD in mathematical physics. Working on topological quantum computing.
Nacer Eddine Belaloui
Ph.D student in Theoretical Physics
PhD student in Theoretical Physics. Working at CQTech on Variational Quantum Algorithms.
Mohamed Messaoud Louamri
Ph.D in Theoretical Physics
Theoretical physicist. I worked on variational quantum algorithms, quantum random number generation, and QUBO-based optimization. Currently, focusing on quantum Machine Learning and Quantum Optimization.
Mohamed Taha Rouabah
Associate Professor of Physics
ARISE Fellow, Principal Investigator at Constantine Quantum Technologies, Associate Professor at University of Constantine 1 (Algeria).